 | Euclides - 1848 - 52 sider
...and parallelograms that have equal altitudes, are one to another as their bases. PROP. II. THEOREM* If a straight line be drawn parallel to one of the...sides of a triangle, it shall cut the other sides, or these produced, proportionally: and conversely, if the sides, or the sides produced, be cut proportionally,... | |
 | John Playfair - 1849 - 332 sider
...will cut the other sides, or the other sides produced, proportionally : And if the sides, or the fides produced, be cut proportionally, the straight line which joins the points of section will be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the... | |
 | Great Britain. Committee on Education - 1850 - 790 sider
...contained by the segments of the other. Section 3. 1. To describe a circle about a given triangle. 2. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other two sides of the triangle proportionally ; and conversely if two sides of a triangle be cut proportionally,... | |
 | Janet Taylor - 1851 - 674 sider
...proportional, viz : [Eu. vi. 4.] CA : AD : : CD : DE AC : CB : : DC : CB CB : BA : : CE : ED Hence if a straight line be drawn parallel to one of the sides of a plane triangle, it will cut the other two sides proportionally, [Eu. vi. 2.] or Theorem D, page 26.... | |
 | Bengal council of educ - 1852 - 348 sider
...quadrilateral figure which can be inscribed in a circle are together equal to two right angles. (4.) If a straight line be drawn parallel to one of the...proportionally, the straight line which joins the point of section shall be parallel to the remaining sides of the triangle. Hence shew how a line may... | |
 | 1852 - 478 sider
...quadrilateral figure which can be inscribed in a circle are together equal to two right angles. 4. If a straight line be drawn parallel to one of the...proportionally, the straight line which joins the point of section shall be parallel to the remaining sides of the triangle. Hence shew how a line may... | |
 | Charles Astor Bristed - 1852 - 470 sider
...a right angle : and the angle in a segment less than a semicircle is greater than a right angle. 6. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or these produced, proportionally ; and if the sides, or these produced,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. TIIEOR. If a straight line be drawn parallel to one of the...sides of a triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the... | |
 | Euclides - 1853 - 176 sider
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. — THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shaU cut tlie other sides, or these produced, proportionally ; and if the sides, or the sides produced,... | |
 | William Somerville Orr - 1854 - 534 sider
...(DE) be drawn parallel to one of the sides (BC) of a triangle, it shall cut the other sides, or these produced, proportionally ; and if the sides, or the...produced, be cut proportionally, the straight line which ioins the noints of section shall be parallel to the remaining side of the triangle. For draw BE, CD.... | |
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IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... 
